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Finding the Third Proportional to 348.63 and 540.13

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Solution

The third proportional to 348.63 and 540.13 is: 836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.63 : 540.13 = 540.13 : x
  2. Step 2: Convert to fraction form
    348.63/540.13 = 540.13/x
  3. Step 3: Cross multiply
    348.63x = 540.13 × 540.13
  4. Step 4: Simplify right side
    348.63x = 291,735.02
  5. Step 5: Solve for x
    x = 291,735.02/348.63
  6. Step 6: Final answer
    x = 836.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.